Rotation class representing a 3D rotation about the Z axis by the angle of rotation.

For efficiency reason, in addition to the the angle, the sine and cosine of the angle are held

Definition at line 43 of file RotationZ.h.

Public Types
typedef double	Scalar

Public Member Functions
	RotationZ ()
	Default constructor (identity rotation) More...

	RotationZ (Scalar angle)
	Construct from an angle. More...

Scalar	Angle () const
	Angle of rotation. More...

Scalar	CosAngle () const

void	GetAngle (Scalar &angle) const
	Get the angle. More...

void	GetComponents (Scalar &angle) const

RotationZ	Inverse () const
	Return inverse of a rotation. More...

void	Invert ()
	Invert a rotation in place. More...

bool	operator!= (const RotationZ &rhs) const

template<class CoordSystem , class U >
DisplacementVector3D< CoordSystem, U >	operator() (const DisplacementVector3D< CoordSystem, U > &v) const
	Rotation operation on a cartesian vector More...

template<class CoordSystem , class U >
PositionVector3D< CoordSystem, U >	operator() (const PositionVector3D< CoordSystem, U > &v) const
	Rotation operation on a position vector in any coordinate system. More...

template<class CoordSystem >
LorentzVector< CoordSystem >	operator() (const LorentzVector< CoordSystem > &v) const
	Rotation operation on a Lorentz vector in any 4D coordinate system. More...

template<class ForeignVector >
ForeignVector	operator() (const ForeignVector &v) const
	Rotation operation on an arbitrary vector v. More...

template<class AVector >
AVector	operator* (const AVector &v) const
	Overload operator * for rotation on a vector. More...

RotationZ	operator* (const RotationZ &r) const
	Multiply (combine) two rotations. More...

RotationZ &	operator*= (const RotationZ &r)
	Post-Multiply (on right) by another rotation : T = T*R. More...

bool	operator== (const RotationZ &rhs) const
	Equality/inequality operators. More...

void	Rectify ()
	Rectify makes sure the angle is in (-pi,pi]. More...

void	SetAngle (Scalar angle)
	Set given the angle. More...

void	SetComponents (Scalar angle)

Scalar	SinAngle () const
	Sine or Cosine of the rotation angle. More...

Private Attributes
Scalar	fAngle

Scalar	fCos

Scalar	fSin

#include <Math/GenVector/RotationZ.h>

Member Typedef Documentation

◆ Scalar

typedef double ROOT::Math::RotationZ::Scalar

Definition at line 47 of file RotationZ.h.

Constructor & Destructor Documentation

◆ RotationZ() [1/2]

ROOT::Math::RotationZ::RotationZ ( )

inline

Default constructor (identity rotation)

Definition at line 55 of file RotationZ.h.

◆ RotationZ() [2/2]

ROOT::Math::RotationZ::RotationZ ( Scalar angle )

inlineexplicit

Construct from an angle.

Definition at line 60 of file RotationZ.h.

Member Function Documentation

◆ Angle()

Scalar ROOT::Math::RotationZ::Angle ( ) const

inline

Angle of rotation.

Definition at line 103 of file RotationZ.h.

◆ CosAngle()

Scalar ROOT::Math::RotationZ::CosAngle ( ) const

inline

Definition at line 109 of file RotationZ.h.

◆ GetAngle()

void ROOT::Math::RotationZ::GetAngle ( Scalar & angle ) const

inline

Get the angle.

Definition at line 97 of file RotationZ.h.

◆ GetComponents()

void ROOT::Math::RotationZ::GetComponents ( Scalar & angle ) const

inline

Definition at line 98 of file RotationZ.h.

◆ Inverse()

RotationZ ROOT::Math::RotationZ::Inverse ( ) const

inline

Return inverse of a rotation.

Definition at line 187 of file RotationZ.h.

◆ Invert()

void ROOT::Math::RotationZ::Invert ( )

inline

Invert a rotation in place.

Definition at line 182 of file RotationZ.h.

◆ operator!=()

bool ROOT::Math::RotationZ::operator!= ( const RotationZ & rhs ) const

inline

Definition at line 215 of file RotationZ.h.

◆ operator()() [1/4]

template<class CoordSystem , class U >

DisplacementVector3D<CoordSystem,U> ROOT::Math::RotationZ::operator() ( const DisplacementVector3D< CoordSystem, U > & v ) const

inline

Rotation operation on a cartesian vector

Rotation operation on a displacement vector in any coordinate system

Definition at line 127 of file RotationZ.h.

◆ operator()() [2/4]

template<class CoordSystem , class U >

PositionVector3D<CoordSystem, U> ROOT::Math::RotationZ::operator() ( const PositionVector3D< CoordSystem, U > & v ) const

inline

Rotation operation on a position vector in any coordinate system.

Definition at line 138 of file RotationZ.h.

◆ operator()() [3/4]

template<class CoordSystem >

LorentzVector<CoordSystem> ROOT::Math::RotationZ::operator() ( const LorentzVector< CoordSystem > & v ) const

inline

Rotation operation on a Lorentz vector in any 4D coordinate system.

Definition at line 149 of file RotationZ.h.

◆ operator()() [4/4]

template<class ForeignVector >

ForeignVector ROOT::Math::RotationZ::operator() ( const ForeignVector & v ) const

inline

Rotation operation on an arbitrary vector v.

Preconditions: v must implement methods x(), y(), and z() and the arbitrary vector type must have a constructor taking (x,y,z)

Definition at line 163 of file RotationZ.h.

◆ operator*() [1/2]

template<class AVector >

AVector ROOT::Math::RotationZ::operator* ( const AVector & v ) const

inline

Overload operator * for rotation on a vector.

Definition at line 174 of file RotationZ.h.

◆ operator*() [2/2]

RotationZ ROOT::Math::RotationZ::operator* ( const RotationZ & r ) const

inline

Multiply (combine) two rotations.

Definition at line 194 of file RotationZ.h.

◆ operator*=()

RotationZ& ROOT::Math::RotationZ::operator*= ( const RotationZ & r )

inline

Post-Multiply (on right) by another rotation : T = T*R.

Definition at line 206 of file RotationZ.h.

◆ operator==()

bool ROOT::Math::RotationZ::operator== ( const RotationZ & rhs ) const

inline

Equality/inequality operators.

Definition at line 211 of file RotationZ.h.

◆ Rectify()

void ROOT::Math::RotationZ::Rectify ( )

inline

Rectify makes sure the angle is in (-pi,pi].

Definition at line 72 of file RotationZ.h.

◆ SetAngle()

void ROOT::Math::RotationZ::SetAngle ( Scalar angle )

inline

Set given the angle.

Definition at line 86 of file RotationZ.h.

◆ SetComponents()

void ROOT::Math::RotationZ::SetComponents ( Scalar angle )

inline

Definition at line 92 of file RotationZ.h.

◆ SinAngle()

Scalar ROOT::Math::RotationZ::SinAngle ( ) const

inline

Sine or Cosine of the rotation angle.

Definition at line 108 of file RotationZ.h.

Member Data Documentation

◆ fAngle

Scalar ROOT::Math::RotationZ::fAngle

private

Definition at line 221 of file RotationZ.h.

◆ fCos

Scalar ROOT::Math::RotationZ::fCos

private

Definition at line 223 of file RotationZ.h.

◆ fSin

Scalar ROOT::Math::RotationZ::fSin

private

Definition at line 222 of file RotationZ.h.

Libraries for ROOT::Math::RotationZ:

[legend]

Public Types

Public Member Functions

Private Attributes

Member Typedef Documentation

◆ Scalar

Constructor & Destructor Documentation

◆ RotationZ() [1/2]

◆ RotationZ() [2/2]

Member Function Documentation

◆ Angle()

◆ CosAngle()

◆ GetAngle()

◆ GetComponents()

◆ Inverse()

◆ Invert()

◆ operator!=()

◆ operator()() [1/4]

◆ operator()() [2/4]

◆ operator()() [3/4]

◆ operator()() [4/4]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator==()

◆ Rectify()

◆ SetAngle()

◆ SetComponents()

◆ SinAngle()

Member Data Documentation

◆ fAngle

◆ fCos

◆ fSin